Search a number
-
+
117586080 = 2534543211
BaseRepresentation
bin1110000001000…
…11100010100000
322012020222210000
413000203202200
5220100223310
615400140000
72625315363
oct700434240
9265228700
10117586080
1160413187
1233467600
131b490281
141188c0da
15a4ca4c0
hex70238a0

117586080 has 240 divisors, whose sum is σ = 426644064. Its totient is φ = 30481920.

The previous prime is 117586067. The next prime is 117586109. The reversal of 117586080 is 80685711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 557175 + ... + 557385.

Almost surely, 2117586080 is an apocalyptic number.

117586080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213322032).

117586080 is an abundant number, since it is smaller than the sum of its proper divisors (309057984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117586080 is a wasteful number, since it uses less digits than its factorization.

117586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 117586080 is about 10843.7115417185. The cubic root of 117586080 is about 489.9126319310.

The spelling of 117586080 in words is "one hundred seventeen million, five hundred eighty-six thousand, eighty".